# How do you graph x<y?

Apr 30, 2017

graph{x< y [-10, 10, -5, 5]}

See below:

#### Explanation:

First and foremost, a < or > graph always uses a dashed line.

Now, we assume $x = y$ and start plotting points.

The graph $x = y$ is the same as the graph $y = x$ by symmetric property, and here is the graph for that:
graph{y=x [-10, 10, -5, 5]}

Assume now, that $x \le y$.
Pick a point and test it; $\left(- 3 , 2\right)$, for example.

Since $- 3 < 2$, we find the point and shade the side of the line containing that point. Then, we change the solid line to a dashed line:
graph{x< y [-10, 10, -5, 5]}